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Finding the Fourth Proportional to 54.94, 75.77 and 46.24

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Solution

The fourth proportional to 54.94, 75.77 and 46.24 is: 63.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.94 : 75.77 = 46.24 : x
  2. Step 2: Convert to fraction form
    54.94/75.77 = 46.24/x
  3. Step 3: Cross multiply
    54.94x = 75.77 × 46.24
  4. Step 4: Simplify right side
    54.94x = 3,503.82
  5. Step 5: Solve for x
    x = 3,503.82/54.94
  6. Step 6: Final answer
    x = 63.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.